A gun at rest on a smooth horizontal platform fires a bullet with a speed of relative…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 6 kg6\,\text{kg} gun at rest on a smooth horizontal platform fires a 0.06 kg0.06\,\text{kg} bullet with a speed of 500 m s−1500\,\text{m\,s}^{-1} relative to the ground. Immediately after the bullet leaves, the gun experiences a constant horizontal resistive force of 24 N24\,\text{N} from the platform bearings. What is the speed of the gun 0.50 s0.50\,\text{s} after the shot, assuming the resistive force acts only after the bullet has completely left the barrel? (a) 4 m s−14\,\text{m\,s}^{-1} (b) 3 m s−13\,\text{m\,s}^{-1} (c) 2 m s−12\,\text{m\,s}^{-1} (d) 5 m s−15\,\text{m\,s}^{-1}

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